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Worksheet: Simplifying Trigonometric Expressions

Q1:

Expand s i n ο€» πœƒ + πœ‹ 6  using sum and difference formulas.

  • A 1 2 ( πœƒ + πœƒ ) s i n c o s
  • B 1 2 ο€» πœƒ + √ 3 πœƒ  s i n c o s
  • C 2 ο€» πœƒ + √ 3 πœƒ  s i n c o s
  • D 1 2 ο€» √ 3 πœƒ + πœƒ  s i n c o s

Q2:

Expand s i n ο€» πœƒ + πœ‹ 4  using sum and difference formulas.

  • A 2 ο€» √ 2 πœƒ + √ 2 πœƒ  s i n c o s
  • B √ 2 2 ( πœƒ βˆ’ πœƒ ) s i n c o s
  • C ο€» √ 2 πœƒ + √ 2 πœƒ  s i n c o s
  • D √ 2 2 ( πœƒ + πœƒ ) s i n c o s

Q3:

Expand s i n ο€Ό πœƒ + 3 πœ‹ 4  using sum and difference formulas.

  • A √ 2 2 ( πœƒ βˆ’ πœƒ ) s i n c o s
  • B √ 2 2 ( πœƒ + πœƒ ) c o s s i n
  • C βˆ’ √ 2 2 ( πœƒ + πœƒ ) c o s s i n
  • D √ 2 2 ( πœƒ βˆ’ πœƒ ) c o s s i n

Q4:

Expand s i n ο€Ό πœƒ + 5 πœ‹ 6  using sum and difference formulas.

  • A 1 2 ο€» πœƒ + √ 3 πœƒ  s i n c o s
  • B 1 2 ο€» πœƒ βˆ’ √ 3 πœƒ  s i n c o s
  • C βˆ’ 1 2 ο€» πœƒ + √ 3 πœƒ  s i n c o s
  • D 1 2 ο€» πœƒ βˆ’ √ 3 πœƒ  c o s s i n

Q5:

Expand s i n ο€Ό πœƒ + 2 πœ‹ 3  using sum and difference formulas.

  • A 1 2 ο€» πœƒ + √ 3 πœƒ  s i n c o s
  • B 1 2 ο€» πœƒ βˆ’ √ 3 πœƒ  s i n c o s
  • C βˆ’ 1 2 ο€» πœƒ + √ 3 πœƒ  s i n c o s
  • D 1 2 ο€» √ 3 πœƒ βˆ’ πœƒ  c o s s i n